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erik [133]
2 years ago
12

Marley had $120 to buy books. She purchased 6 books and has $18 left. How much was each book?

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

$17

Step-by-step explanation:

If Marley had $120 to buy books and has a remainder of $18 left, then you would subtract 18 from 120 first.

120 - 18 = 102

Next you would divide.

102/6 = 17

The price of each book was $17.

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Explain how to find the inequality that represents the graph.
Aloiza [94]

The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

<h3>Graph of Inequality</h3>

From the question, we are to determine the inequality that represents the graph

First, we will assume the inequality is a straight line and we will determine the equation of the line

From the graph, we have two points on the line

(0, -2) and (5, -1)

Using the formula for the equation of a line with two given point

(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)

x₁ = 0

y₁ = -2

x₂ = 5

y₂ = -1

Thus,

(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)

(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)

(y +2)/(x ) = 1/ 5

5(y + 2) =1(x)

5y + 10 = x

5y = x - 10

y = 1/5(x) - 2

y = x/5 - 2

Now,

Since the solution is below the line and the line is dotted

The inequality becomes

y < x/5 -2

OR

5y < x - 10

Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

Learn more on Graph of Inequality here: brainly.com/question/17106134

#SPJ1

5 0
1 year ago
The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w
Marat540 [252]

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

   The first  sample size is n_1   =  252

    The number that tested positive is  k_1  =  18

     The second sample size is  n_2   =  476

     The number that  tested positive is  k_2 =  20

     The level of significance is  \alpha  = 0.01

Generally the first sample proportion is mathematically represented as

      \^ p _1 =  \frac{k_1 }{ n_1 }

=>    \^ p _1 =  \frac{18 }{ 252 }

=>    \^ p _1 = 0.071

Generally the second sample proportion is mathematically represented as

      \^ p _2 =  \frac{k_2 }{ n_2 }

=>    \^ p _2 =  \frac{20 }{ 476}

=>    \^ p _2 = 0.042

The  null hypothesis is            H_o  :  p_1 - p_2 = 0

The alternative hypothesis is  H_a :  p_1 - p_2 \ne 0

Generally the test statistics is mathematically represented

       z =  \frac{ \^ p_1 - \^ p_2  -  ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1  } + \frac{\^ p_2 (1-\^ p_2)}{ n_2  }  } }

=>    z =  \frac{ 0.071 - 0.042  - 0 }{ \sqrt{\frac{0.071  (1-0.071)}{  252  } + \frac{0.042 (1-\^ 0.042)}{ 476  }  } }

=>    z =  1.56

From the z table  the area under the normal curve to the right corresponding to  1.56   is  

        P(Z >  1.56 ) =0.05938

Generally the p-value is mathematically represented as

         p-value =  2 * P(Z >  1.56 )

=>      p-value = 2 *  0.05938

=>      p-value = 0.1188

From the value obtained we see that   p-value  >  \alpha hence

  The decision rule is  

Fail to reject the null hypothesis

  The conclusion is  

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

 

5 0
2 years ago
Ellema knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 wi
Rus_ich [418]

Answer:

1.8

Step-by-step explanation:

0.2 times 5 is 1.8

3 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!
frutty [35]

Answer:

10

Step-by-step explanation:

There is a way to turn this into a simple equation, but I will not go through that.


So the conditions are saying the first term is 40 and for every term after that you multiply the last by .5.  So to get the fifth you would multiply the fourth by .5.


We want the third, so we need to multiply the second by .5.  To get the second we multiply the first by .5.  since the first is 40, 40*.5=20.  Then just repeat.  

7 0
2 years ago
Graph a right triangle with the two points forming the hypotenuse. Using the sides,
MakcuM [25]

Answer:

I'm not sure how to do this but i hope this info can help :l

it's a similar problem... hope this helps :

Step-by-step explanation:

The distance in radical form is √100 (which is equal to 10units

Distance=√(-8--2)²+(7--1)²

D=√(-6)²+(8)²

D=√36+64

D=√100

D=10units

8 0
2 years ago
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